Question

A, B, C and D are four masses each of mass M lying on the vertices of a square of side 'a'. They always move along a common circle with velocity v. Find v so that they always remain on the vertices of the square –

• A.
• B.
• C.
• D. None

Answer 1

Answer: (A)

Answer 2

F_net = $\sqrt { 2 }$F₁ + F₃ =

$\sqrt { 2 }$ $\frac { \mathrm { GM } ^ { 2 } } { ( \mathrm { a } \sqrt { 2 } ) ^ { 2 } }$ =

v = $\sqrt { \frac { G M ( 1 + 2 \sqrt { 2 } ) } { 2 \sqrt { 2 } a } }$